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In a trapezoid, if the lengths of the two parallel sides are 8 cm and 12 cm, wha

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Question: In a trapezoid, if the lengths of the two parallel sides are 8 cm and 12 cm, what is the length of the midsegment?

Options:

  1. 4 cm
  2. 10 cm
  3. 20 cm
  4. 16 cm

Correct Answer: 10 cm

Solution: 

The length of the midsegment of a trapezoid is the average of the lengths of the two parallel sides. Therefore, midsegment = (8 cm + 12 cm) / 2 = 10 cm.

In a trapezoid, if the lengths of the two parallel sides are 8 cm and 12 cm, wha

Practice Questions

Q1
In a trapezoid, if the lengths of the two parallel sides are 8 cm and 12 cm, what is the length of the midsegment?
  1. 4 cm
  2. 10 cm
  3. 20 cm
  4. 16 cm

Questions & Step-by-Step Solutions

In a trapezoid, if the lengths of the two parallel sides are 8 cm and 12 cm, what is the length of the midsegment?
  • Step 1: Identify the lengths of the two parallel sides of the trapezoid. In this case, they are 8 cm and 12 cm.
  • Step 2: Add the lengths of the two parallel sides together. So, 8 cm + 12 cm = 20 cm.
  • Step 3: Divide the sum by 2 to find the average. So, 20 cm / 2 = 10 cm.
  • Step 4: The result is the length of the midsegment, which is 10 cm.
  • Midsegment of a Trapezoid – The midsegment of a trapezoid is the line segment that connects the midpoints of the non-parallel sides and its length is the average of the lengths of the two parallel sides.
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